Letendre, Patrick The number of integer points close to a polynomial. (English) Zbl 1424.11105 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 81-93 (2018). Summary: Let \(f(x)\) be a polynomial of degree \(n\geq 1\) with real coeffcients and let \(X\geq 2\) and \(\delta\geq 0\) be real numbers. Let \(\vert \vert .\vert \vert \) be the distance to the nearest integer. We obtain upper bounds for the number of solutions to the inequality \(\vert \vert f(x)\vert \vert \leq \delta\) with \(x\in[X,2X]\cap \mathbb{N}\). Cited in 1 Document MSC: 11J54 Small fractional parts of polynomials and generalizations Keywords:fractional parts; polynomials PDFBibTeX XMLCite \textit{P. Letendre}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 81--93 (2018; Zbl 1424.11105) Full Text: arXiv